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Finding the Fourth Proportional to 17,461.60, 26,194.80 and 6,365.60

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Solution

The fourth proportional to 17,461.60, 26,194.80 and 6,365.60 is: 9,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.60 : 26,194.80 = 6,365.60 : x
  2. Step 2: Convert to fraction form
    17,461.60/26,194.80 = 6,365.60/x
  3. Step 3: Cross multiply
    17,461.60x = 26,194.80 × 6,365.60
  4. Step 4: Simplify right side
    17,461.60x = 166,745,618.88
  5. Step 5: Solve for x
    x = 166,745,618.88/17,461.60
  6. Step 6: Final answer
    x = 9,549.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.